Jong-in Kim

collaborators

3 papers

math.AP2026

Asymptotic behavior of large-amplitude solutions to the Boltzmann equation with soft interactions in $L_{v}^{p} L_{x}^{\infty}$ spaces

Jong-in Kim, Gyounghun Ko

In this paper, we study the global well-posedness of the Boltzmann equation within the $L_{v}^{p} L_{x}^{\infty}$ framework for soft potential models with angular cutoff in a period…

math.AP2025

Global solutions in $L_{v}^{p} L_{x}^{\infty}$ for the Boltzmann equation in bounded domains

Dingqun Deng, Jong-in Kim, Donghyun Lee

The existence theory for solutions to the Boltzmann equation in bounded domains has primarily been developed within uniformly bounded function classes, such as $L_{x, v}^{\infty}$ ,…

math.AP2025

On the large amplitude solution of the Boltzmann equation with large external potential and boundary effects

Jong-in Kim, Donghyun Lee

The Boltzmann equation is a fundamental equation in kinetic theory that describes the motion of rarefied gases. In this study, we examine the Boltzmann equation within a $C^{1}$ boun…

Asymptotic behavior of large-amplitude solutions to the Boltzmann equation with soft interactions in Lvp​Lx∞​ spaces

Global solutions in Lvp​Lx∞​ for the Boltzmann equation in bounded domains

On the large amplitude solution of the Boltzmann equation with large external potential and boundary effects

Asymptotic behavior of large-amplitude solutions to the Boltzmann equation with soft interactions in $L_{v}^{p} L_{x}^{\infty}$ spaces

Global solutions in $L_{v}^{p} L_{x}^{\infty}$ for the Boltzmann equation in bounded domains